Singular sector of the Kadomtsev–Petviashvili hierarchy, ∂̄ operators of nonzero index, and associated integrable systems
DOI10.1063/1.533148zbMath1045.37501arXivsolv-int/9806001OpenAlexW2040667015MaRDI QIDQ2737827
B. G. Konopelchenko, Elena Medina, Luis Martínez-Alonso
Publication date: 30 August 2001
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/solv-int/9806001
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15)
Related Items (1)
Cites Work
- Solitons and infinite dimensional Lie algebras
- Classical r-matrices and compatible Poisson brackets for coupled KdV systems
- Loop groups and equations of KdV type
- Characterization of Jacobian varieties in terms of soliton equations
- Quantum field theory, Grassmannians, and algebraic curves
- Coupled KdV equations with multi-Hamiltonian structures
- Limit matrices for the Toda flow and periodic flags for loop groups
- Birkhoff strata, Bäcklund transformations, and regularization of isospectral operators
- Integrable systems for \(\overline\partial\) operators of non-zero index
- The Painlevé property for partial differential equations. II: Bäcklund transformation, Lax pairs, and the Schwarzian derivative
- Matrix-bipolar asymptotic modules for solving (2+1)-dimensional non-linear evolution equations with constraints
- A solvable hierarchy of (N+1)-dimensional non-linear evolution equations with constraints
- The Painlevé property for partial differential equations
- The non-local delta problem and (2+1)-dimensional soliton equations
- Schrödinger spectral problems with energy–dependent potentials as sources of nonlinear Hamiltonian evolution equations
- Energy-dependent third-order Lax operators
- Integrable nonlinear evolution equations with constraints: I
- Rational and elliptic solutions of the korteweg-de vries equation and a related many-body problem
- Zero sets of -functions and hidden hierarchies of KdV type
- Nonclassical Symmetries and the Singular Manifold Method: Theory and Six Examples
This page was built for publication: Singular sector of the Kadomtsev–Petviashvili hierarchy, ∂̄ operators of nonzero index, and associated integrable systems